How has mathematics gotten so abstract?
What's the meaning of "numbers" and "arithmetic operations"? We consult Georg Cantor's turtles and look at Giuseppe Peano's code.
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What's the meaning of "numbers" and "arithmetic operations"? We consult Georg Cantor's turtles and look at Giuseppe Peano's code.
I used to work next to the center for nanotechnology. The first indication I had that there was something wrong with the discipline of “nanotechnology” is I noticed that the people who …
No. But they don’t need to. In preparation for the 5th test flight of Starship, SpaceX announced that they would try to catch the booster using “Mechazilla’s chopsticks.” Later du…
Once in a while I come across an animated debate on health benefits of sugar vs. high-fructose corn syrup (HFCS). It is enzymatically produced mixture of glucose and fructose that approximately matches the chemical composition of sucrose, aka sugar. It is not this debate that is my concern; rather,…
A blog dedicated to helping Science Fiction authors create and discuss worlds where a realistic setting can still serve the fiction.
Learn how alien intelligence connects to human intelligence through science and technology using the Principle of Computational Equivalence, the ruliad, rulial space, tiny spacecraft and the Wolfram Language.
Up until the late 1960s, physiologists believed that the maximum depth a person could descend to was determined by the depth at which their total lung capacity (TLC) was compressed to the same volume as their residual volume (RV) which is the smallest lung volume a person can breathe to. The TLC was predicted to be…
A useful theorem attributed to the probably first mathematician ever, Thales of Miletus (ca. 624 BC-ca. 546 BC) is one of most elementary and intuitive ever stated.
Using EEG readings of brain waves to monitor unconsciousness, an anesthesiologist can significantly reduce the amount of the anesthesia administered to safely induce and sustain the anesthetized state of children undergoing surgery.
Two recent articles, one about China and the other from Europe, are pointing at a link between childhood trauma and Alzheimer disease. The first
Researchers have discovered magnetic monopoles – isolated magnetic charges – in a material closely related to rust, a result that could be used to power greener and faster computing technologies.
Edited 8/16 to correct attributions to Alon and Boppana and to Tardos, thanks to an anonymous commenter for the correction Yesterday, Norbert Blum posted a preprint with a claimed proof that $latex…
A Stanford study of nearly 24,000 patients with kidney cancer concluded that robot-assisted laparoscopic surgeries are associated with increases in operating times and cost compared with conventional laparoscopic surgeries.
In our previous installment of this podcast, we learned from independent researcher Alexey Guzey that famed sleep researcher Matthew Walker seems to have committed research misconduct in his bestselling book, Why We Sleep. Walker is a University of California professor, Google researcher, and Ted talk star, and his…
Researchers delivered a modified RNA that encodes a telomere-extending protein to cultured human cells. Cell proliferation capacity was dramatically increased, yielding large numbers of cells for study.
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Question: At what point during the history of science did we discover outer space was a vacuum? I’m pretty sure it was before we actually went there, but when did we know for certain? — MC, Algoma, WI
Discovery made possible by more than 60 million worms and state-of-the-art imaging accessible only at OHSU, two other national cryoEM centers in the U.S.
[Note that this article is a transcript of the video embedded above.] The Port of Long Beach in Southern California is the second-busiest container seaport in the United States, a major gateway for goods flowing to and from the west coast. Together with its next door neighbor, the Port of Los Ange
I’ve just uploaded to the arXiv the paper “Decomposing a factorial into large factors”. This paper studies the quantity $latex {t(N)}&fg=000000$, defined as the largest quanti…
In a collaboration led by EPFL’s Blue Brain, scientists discover patterns of brain activity – never before observed – with the help of mathematics, providing insight into how neurons collectively process information.
Lecture 1: Tutorial on Deep Learning I Lecture 2: Tutorial on Deep Learning II Lecture 3: Tutorial on Deep Learning III Lecture 4: Tutorial on Deep Learning IV
A new analysis by Stanford researchers suggests the health care industry can reap many of the economic benefits of a "Medicare for All" program through incremental changes to the private health care market.
Important Update (March 10): On deeper reflection, I probably don’t need to spend emotional energy refuting people like Chomsky, who believe that Large Language Models are just a laughable fa…
"Science and The Way to Health" by Andress and Brown
Recently one of my colleagues was reading Alan Turing’s groundbreaking 1936 article “On Computable Numbers with an Application to the Entscheidungsproblem.” This is the article in…
The Royal Society is a venerable institution founded in 1660, whose original members included such eminent men as Christopher Wren, Robert H...